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Ivahew [28]
3 years ago
7

Eira created color panels for a wall using a mix of only red and blue paints. She plotted the quantities of red and blue paints

used for each mix and connected them using a line segment, as shown in the graph below:
A line graph titled Color Mix, with Quantity of Blue Paint, in millimeters, on the X axis and Quantity of Red Paint, in millimeters, on the Y axis. The X axis has a scale from 0 to 9 with an increment of 1. The Y axis has a scale of 0 to 18 in increments of 2. A straight line connecting 3, 2 and 7, 12 is drawn.

Which statement best describes the domain of the function represented in the graph? (1 point)


3 ≤ x ≤ 12 or x is between 3 and 12, inclusive

3 ≤ x ≤ 7 or x is between 3 and 7, inclusive

2 ≤ x ≤ 12 or x is between 2 and 12, inclusive

2 ≤ x ≤ 7 or x is between 2 and 7, inclusive

Mathematics
1 answer:
lesya [120]3 years ago
4 0

Answer:

3 ≤ x ≤ 7 or x is between 3 and 7, inclusive

Step-by-step explanation:

Eira's graph probably resembled the diagram below.

The domain is the set of all possible x-values that will make a function work.

x can take any value from 3 to 7.

The domain is [3, 7] or 3 ≤ x ≤ 7.

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Factor −1/2−1/2 out of −1/2x+6.
pochemuha
That's unusual:  repetition:  -1/2 - 1/2.

Did you perhaps mean "Factor -1/2 out of (-1/2)x + 6?

Let's do that.  Let's rewrite 6 as (-1/2)(-12).

Then (-1/2)x + 6       (-1/2)x -(1/2)(-12)
         --------------  =  ------------------------  = x - 1/2
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Hope that's what you wanted.  If not, please try to apply a similar approach to solving this particular problem.

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A sphere with a radius of 6cm has the same volume as a cylinder with a height of 4.5cm. What is the radius of the cylinder
yawa3891 [41]
Short answer: r = 8
Remark
The easiest way to do this is to solve the sphere's volume in terms of pi. When you do this, you can equate that to the formula for a cylinder and cancel the pi values. 

Step One
Find the volume of the sphere.

<em>Givens</em>
r = 6 cm

<em>Formula</em>
V = (4/3) pi r^3

<em>Sub and Solve</em>
V =  4/3 pi * 6^3
V = 288 * pi

Step two 
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<em>Givens</em>
V = 288* pi cm^3
h = 4.5 cm

<em>Formula</em>
V = pi r^h

<em>Sub and solve</em>
288 pi cm^3 = pi r^2 * 4.5    Divide both sides by pi
288 cm^3 = 4.5 r^2              Divide both sides by 4.5
388 / 4.5 = r^2
64 = r^2                                Take the square root of both sides.
r = square root( 64)
r = 8 <<<<< Answer

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